G. Panasenko
France
Mathematical Modelling of a Composite Material with Rubber Inclusions.
We consider elasticity properties of a composite material which contains
rubber inclusions of high concentration. Difficulty of this modelling is
related to small compressibility of rubber and large difference of Young
moduli of inclusions and the matrix.
At the first part, a periodic structure of composite is assumed. In this
case code EFMODUL (G.Panasenko and N.Bakhvalov) is applied in
combination with Richardson extrapolation in order to compute effective
moduli of the composite material.
At the second part the periodic composite material is approximated by a
thin - wall structure when the explicit formulas could be obtained for
effective moduli.
At the third part we consider small stochastic perturbations of periodic
structure, and its influence on effective moduli values is analysed and
estimated.
This study was sponsored by Rhone-Alpes Region grant.
